Application of global methods in parallel shooting

M.E. Kramer, R.M.M. Mattheij

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Abstract

A new divide and conquer method is proposed. It employs a coarse grid discretization like multiple shooting does, but solves the local problems in a "BVP-way," i.e., by some global method. A sophisticated error control is developed to combine local and global convergence of the Newton updating. An implementation based on using the collocation code COLNEW is briefly discussed and a number of examples are given to illustrate the success of the method, in particular for singular perturbation problems.
Original languageEnglish
Pages (from-to)1723-1739
JournalSIAM Journal on Numerical Analysis
Volume30
Issue number6
DOIs
Publication statusPublished - 1993

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